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Finding the Fourth Proportional to 246,407.81, 369,648.16 and 77,889.87

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Solution

The fourth proportional to 246,407.81, 369,648.16 and 77,889.87 is: 116,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,407.81 : 369,648.16 = 77,889.87 : x
  2. Step 2: Convert to fraction form
    246,407.81/369,648.16 = 77,889.87/x
  3. Step 3: Cross multiply
    246,407.81x = 369,648.16 × 77,889.87
  4. Step 4: Simplify right side
    246,407.81x = 28,791,846,933.41
  5. Step 5: Solve for x
    x = 28,791,846,933.41/246,407.81
  6. Step 6: Final answer
    x = 116,846.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.